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Finding the Fourth Proportional to 945.96, 1,417.34 and 653.14

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Solution

The fourth proportional to 945.96, 1,417.34 and 653.14 is: 978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.96 : 1,417.34 = 653.14 : x
  2. Step 2: Convert to fraction form
    945.96/1,417.34 = 653.14/x
  3. Step 3: Cross multiply
    945.96x = 1,417.34 × 653.14
  4. Step 4: Simplify right side
    945.96x = 925,721.45
  5. Step 5: Solve for x
    x = 925,721.45/945.96
  6. Step 6: Final answer
    x = 978.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.